Three-dimensional Poincar\'e supergravity and $\mathcal{N}$-extended supersymmetric BMS$_{3}$ algebra
High Energy Physics - Theory
2019-04-03 v2
Abstract
A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincar\'e algebra is presented. The -extended Poincar\'e supergravity is obtained by expanding the super Lorentz theory. We extend our procedure to their respective asymptotic symmetries and show that the super-BMS appear as expansions of one Virasoro superalgebra. Interestingly, the -extended super-BMS obtained here are not only centrally extended but also endowed with internal symmetry. We also show that the -extended super Poincar\'e algebras with both central and automorphism generators are finite subalgebras.
Cite
@article{arxiv.1812.05065,
title = {Three-dimensional Poincar\'e supergravity and $\mathcal{N}$-extended supersymmetric BMS$_{3}$ algebra},
author = {Ricardo Caroca and Patrick Concha and Octavio Fierro and Evelyn Rodríguez},
journal= {arXiv preprint arXiv:1812.05065},
year = {2019}
}
Comments
V2, 18 pages, published version